Wednesday, 5th. A fresh steady gale and fine weather. At 1 p.m. made Sail to the Westward, and at 1/2 past 3 saw land to the North-West, which we got up with at Sun sett and proved to be a low woody Island of a Circular form, and not much above a Mile in Compass. This Island I called Thrum Cap* (* Akiaki. It is inhabited.); it lies in the Latitude of 18 degrees 35 minutes South and in the Longitude of 139 degrees 48 minutes West from Greenwich, and North 62 degrees West, 7 Leagues from Lagoon Island. We saw no inhabitants, nor the appearance of any, and yet we were within 1/2 a Mile of the Shore. I observed by the Shore that it was near low Water, and at Lagoon Island I observed that it was either high Water or else there was no Ebbing and flowing of the Sea. From these Circumstances I infer that a South by East or South Moon makes high Water. Here we caught a King Fish, being the first fish we have got in these Seas. Wind East; course North 77 degrees 30 minutes West; distance 79 miles; latitude 18 degrees 25 minutes South, longitude 140 degrees 51 minutes West.

Thursday, 6th. A fresh Trade and fine Pleasant weather. At 3 p.m. Saw land to the Westward, which proved to be an Island of about 12 or 15 Leagues in Compass; is very low and entirely drown'd in the Middle, forming there a large lake, into which there appeared to be no inlet. The border of land and Reef surrounding this lake like a wall appeared to be of a Bow-like figure, for which reason I named it Bow Island. The South side, along which we sail'd, was one continued low narrow Beach or Reef like a Causeway for 4 Leagues and upwards, and lies East by North and West by South. The East and West Ends and North side of this Island are wooded-in Groves, and the firm Land appeared disjoined and like a Number of Islands, and very probably is so. The North-West parts of the Island we only saw aCross the Lake, and not very distinct on account of its great extent, and night coming on before we had run the whole length of the Island. This description must be imperfect, and the whole Island may form a Different figure to what I have here described.* (* Hao. It is a large atoll, thirty miles in length. Cook only saw a portion of it.) The east end lies in the Latitude of 18 degrees 23 minutes South, and Longitude 141 degrees 12 minutes West from Greenwich. Variation 5 degrees 38 minutes East. This Island is Inhabited; we not only saw smook in Different Parts, but people also. At Noon saw Land to the Westward. Wind east; course North 85 degrees West; distance 94 miles; latitude 18 degrees 19 minutes South, longitude 142 degrees 29 minutes West.